Existence and Numerical Solutions of Nonlinear Quadratic Integral Equations Defined on Unbounded Intervals

Karoui, Abderrazek; Aouicha, Hichem Ben; Jawahdou, Adel

doi:10.1080/01630563.2010.493191

Cited by 6 publications

(3 citation statements)

References 10 publications

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“…In this example, we let p D 4; r D r 0 D 2; .s/ D e s and consider the nonlinear Urysohn's integral equation Recently and in the case where .t / D 1; we have generalized in [11], the above existence results to the existence of L p .R C /-solutions of the following nonlinear quadratic integral equations This generalization is given by the following theorem, see [11]. where a.…”

Section: Examplementioning

confidence: 95%

Weighted Lp -solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types

Karoui

Jawahdou

Aouicha³

2011

Advances in Pure and Applied Mathematics

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Section: Examplementioning

confidence: 95%

Weighted Lp -solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types

Karoui

Jawahdou

Aouicha³

2011

Advances in Pure and Applied Mathematics

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“…(1.8) Karoui et al [21] researched the existence of the solution of nonlinear quadratic integral equation:…”

Section: İsmet öZdem İrmentioning

confidence: 99%

“…Banaś and Olszowy [6], Cabellaro et al [10], Darwish et al [15], Karoui et al [21] and Olszowy [29][30][31] studied the existence of the solutions for the Urysohn integral equation defined on unbounded interval:…”

Section: İsmet öZdem İrmentioning

confidence: 99%

Asymptotically stable solutions of a nonlinear integral equation

Özdemi̇r¹

2021

Methods of Functional Analysis and Topology

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The purpose of this paper is to study the existence and asymptotical stability of solutions of some functional integral equations which include a number of classical nonlinear integral equations as special cases. Our investigations will be carried out in the space of continuous and bounded functions on an unbounded interval. We use the technique associated with the measure of noncompactness and a suitable fixed point theorem of Darbo type. The applicability of the results is illustrated by examples showing the difference between our main result and some previous results.Метою цiєї статтi є дослiдження iснування та асимптотичної стiйкостi розв'язкiв iнтегрально функцiональних рiвнянь, спецiальними випадками яких є низка класичних нелiнiйних iнтегральних рiвнянь. Нашi дослiдження ведуться в просторах обмежених неперервних функцiй на нескiнченному iнтервалi. Використовується технiка мiр некомпактностi та теореми про нерухому точку типу Дарбо. Результати iлюструються прикладами, що вказують на вiдмiнностi з деякими попереднiми результатами.

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